Question

Find the range of the function given the domain.

Domain: {-7,0, 3}
y = -2x - 3
Range { ___)"
a) {-17, -3, 3}
b) {-17, -3, 1}
c) {-17, -1, 3}
d) {-17, -1, 1}

Answer 1

The range of the function y = -2x - 3, given the domain {-7,0,3}, is calculated for each domain value, resulting in the range {11, -3, -9}, which does not match the provided options.

To find the range of the function y = -2x - 3 given the domain of {-7,0,3}, we calculate the output of the function for each domain value:

1. When x = -7: y = -2(-7) - 3 = 14 - 3 = 11
2. When x = 0: y = -2(0) - 3 = -3
3. When x = 3: y = -2(3) - 3 = -6 - 3 = -9

Thus the range is {11, -3, -9}, which is not listed in the provided options (a-d). Hence, there might be a mistake in either the question or the provided options.